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2 answers:
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Answer:
Step-by-step explanation:
Required
The positive root of
Equate to 0
So, we have our function to be:
Differentiate the above function:
Using Newton's method of approximation, we have:
Plot the graph of to get
--- see attachment for graph
From the attached graph, the first value of x is at 2.2; so:
So, we have:
The process will be repeated until the digit in the 6th decimal place remains unchanged
Hence:
Answer:
42.64°
Step-by-step explanation:
Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.
From the diagram attached,
sinθ = opposite/adjacent
sinθ = 4/11
θ = sin⁻¹(4/11)
θ = 21.32
Therefore, from the diagram,
The smaller angle of the rhombus = 2θ
The smaller angle of the rhombus = (2×21.32)
The smaller angle of the rhombus = 42.64°
